Make Venn diagrams to verify that the following theorems on sets hold. Use some systematic shading or

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Make Venn diagrams to verify that the following theorems on sets hold. Use some systematic shading or coloring to clearly distinguish the relevant sets.

(a) A n (B U C) = (A fl B) U (A fl C)

(b) (Aflfi)C 1C (A U B)

(c) A - BC A

(d) if A C B and C C D, then (A U C) C (B U D)

(e) if AD Rand CD D, then (Afl C)D (B

f) D)

(f) A n B = A — (A — B)

(g) Ail (B- A) = AUB

(h) A - (A r\B) = A — B

(i) An (B- C) = (Ai) B) — C.

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Statistics Probability Inference And Decision

ISBN: 9780030778056

1st Edition

Authors: Robert L. Winkler, William L. Hays

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